Let F be the set of functions of the form . Define an inner product on F by

Find an othogonal basis for F

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- May 18th 2009, 03:55 PMJimmy_WOrthogonal Basis for F
Let F be the set of functions of the form . Define an inner product on F by

Find an othogonal basis for F - May 18th 2009, 04:17 PMarbolis
I think you have to find 2 functions, say and such that and of course that and .

- May 18th 2009, 06:02 PMNonCommAlg
- June 1st 2009, 08:58 AMJimmy_W
I have become lost.....but in trying to continue with what you provided me with I have come up with the following:

Am I barking up the wrong tree here? If so, what do I need to do because Ive been trying to figure this out for a while. If not, where do I go from here?

Thanks - June 1st 2009, 03:57 PMNonCommAlg
- June 1st 2009, 08:36 PMmath2009

We solve orthogonal basis

Orthnormal basis is

You could choice , there are no unified solutions.